Various super-simple designs with block size four
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In this note the existence of a (Vj P2j 4, 2) BTD I for P2 = 0, 1 and 2, in which any pair of blocks intersect in at most two elements, is proved for any admissible v.
[1] H. Hanani. The Existence and Construction of Balanced Incomplete Block Designs , 1961 .
[2] Richard M. Wilson,et al. Constructions and Uses of Pairwise Balanced Designs , 1975 .
[3] Elizabeth J. Billington,et al. Balanced ternary designs with block size four , 1993 .